Prerequisites: at least two terms of Greek at the 3000-level or higher. Readings in Greek literature from Homer to the 4th century B.C.
Prerequisites: KORN W4006 or the equivalent. Selections from advanced modern Korean writings in social sciences, literature, culture, history, journalistic texts, and intensive conversation exercises.
Prerequisites: at least two terms of Latin at the 3000-level or higher. Latin literature from the beginning to early Augustan times.
In their research, scholars of religion employ a variety of methods to analyze texts ranging from historical documents to objects of visual culture. This course acquaints students with both the methods and the materials utilized in the field of religious studies. Through guided exercises, they acquire research skills for utilizing sources and become familiarized with dominant modes of scholarly discourse. The class is organized around a series of research scavenger hunts that are due at the start of each week's class and assigned during the discussion section (to be scheduled on the first day of class). Additional class meeting on Thursdays.
Prerequisites: (IEOR 4150 or equivalent) This graduate course is a core course for MSIE and MSOR students. This is also required for students in the Undergraduate Advanced Track. Some of the main stochastic models used in engineering and operations research applications: discrete-time Markov chains, Poisson processes, birth-and-death processes, and other continuous Markov chains, renewal reward processes. Applications: queueing, reliability, inventory, and finance.
Prerequisites: (IEOR 4150 or equivalent) This graduate course is a core course for MSIE and MSOR students. This is also required for students in the Undergraduate Advanced Track. Some of the main stochastic models used in engineering and operations research applications: discrete-time Markov chains, Poisson processes, birth-and-death processes, and other continuous Markov chains, renewal reward processes. Applications: queueing, reliability, inventory, and finance.
This course will use an evolutionary perspective to focus on what humans need to eat for survival and health. We will examine how and why sufficient and optimal diets can be obtained through a range of dietary patterns, and how those patterns were rooted in different geographic and cultural regions. We will also compare current patterns with those of humans from 200,000, 12,000 and 100 years ago, and where it is instructive, we will compare the food intake and food system of other animals. Throughout the course, the environmental impact of a given dietary pattern will be considered, and where possible, the economic determinants of individual food intake will be reviewed. We will incorporate a lifespan perspective throughout the course.
Thе course examines most representative works of Russian literature and culture since the 1990s and until the present moment. While discussing recent novels, short stories, dramas, poems, and films, we will address the issues of politics, re-assessment of history, gender, family, national identity, violence and terrorism. No knowledge of Russian is expected.
Prerequisites: LING UN3101 Language, like all components of culture, is structured and conventional, yet can nevertheless change over time. This course examines how language changes, firstly as a self-contained system that changes organically and autonomously, and secondly as contextualized habits that change in time, in space, and in communities. Workload: readings & discussion, weekly problems, and final examination.
Why opera now? In what ways can a 400-year-old art form speak to the needs of contemporary society? This seminar provides an introduction to critical opera studies: we will analyze a broad range of lyric repertory (spanning from Monteverdi to Saariaho) while interrogating the debates these works have generated, both historically and in the present day. Topics to be considered include: operatic institutions and conventions; gender and voice; theories of “text” and liveness; modernist staging; the troubling legacies of Empire and exoticism; and the intersections of opera and multimedia (opera on/as film, opera in HD, site-specific opera). While completion of Music Humanities is a suggested pre-requisite, this class welcomes interdisciplinary perspectives. Individual assignments may be tailored to accommodate student interests and backgrounds outside of the field of music.
Note: While the original description for this course emphasized live concert attendance, the present circumstances have clearly rendered this impossible! Our meetings will now make use of Columbia's extensive resources for online streaming (Met Opera on Demand,
medici.tv
); feature zoom discussions with prominent figures from the opera world; and take care to critically consider the ways that the art form and its practitioners have responded to the crises of the spring and summer.
This introductory course is the first of a two-course-series on human anatomy and physiology. Using a body systems approach, we will study the anatomical structure and physiological function of the human body. Foundational concepts from chemistry, cell biology, and histology are reviewed and built upon through the progression of topics. Each of the body systems will be studied for their structure, function, and mechanisms of regulation. The core concepts of levels of organization, interdependence of systems, and homeostasis will be emphasized throughout the course. This beginner level course will lay the foundation for further advanced study of physiology and pathophysiology within a nursing curriculum. This is a four (4) credit course.
This introductory course is the second of a two-course series on human anatomy and physiology. Using a body systems approach, we will study the anatomical structure and physiological function of the human body. Foundational concepts from chemistry, cell biology, and histology are reviewed and built upon through the progression of topics. Each of the body systems will be studied for their structure, function, and mechanisms of regulation. The core concepts of levels of organization, interdependence of systems, and homeostasis will be emphasized throughout the course. This beginner level course will lay the foundation for further advanced study of physiology and pathophysiology within a nursing curriculum.
Prerequisites: (MATH UN1202) and (APMA E2101) MATH V1202 and APMA E2101 Fundamental concepts of probability and statistics applied to biology and medicine. Probability distributions, hypothesis testing and inference, summarizing data and testing for trends. Signal detection theory and the receiver operator characteristic. Lectures accompanied by data analysis assignments using MATLAB as well as discussion of case studies in biomedicine.
Prerequisites: (CHEN E3120) CHEN E3110X and CHEN E3120Y or the equivalent Continuum frame-work for modeling non-equilibrium phenomena in fluids with clear connections to the molecular/microscopic mechanisms for conductive transport. Continuum balances of mass and momentum; continuum-level development of conductive momentum flux (stress tensor) for simple fluids; applications of continuum framework for simple fluids (lubrication flows, creeping flows). Microscopic developments of the stress for simple and/or complex fluids; kinetic theory and/or liquid state models for transport coefficients in simple fluids; Langevin/Fokker- Plank/Smoluchowski framework for the stress in complex fluids; stress in active matter; applications for complex fluids.
This online undergraduate-level introductory course focuses on the core concepts and principles of microbiology. We will explore how microorganisms co-exist and interact with humans creating both beneficial and pathological results. We will survey the diversity of microorganisms, their classification, and the essential processes needed for survival; which will dictate the environments in which they can thrive. This exploration of microorganism diversity will include topics such as microbial nutrition and metabolism, genetics, and antimicrobial mechanisms employed by and against microorganisms. Special attention will be given to understanding the human immune system, mechanisms of infection by pathogenic microorganisms, and the role non-harmful microbiota serve in supporting immune function. The weekly lab component of this course will support and complement each learning module and familiarize students with basic microbiologic lab techniques.
Introduction to basic probability; hazard function; reliability function; stochastic models of natural and technological hazards; extreme value distributions; Monte Carlo simulation techniques; fundamentals of integrated risk assessment and risk management; topics in risk-based insurance; case studies involving civil infrastructure systems, environmental systems, mechanical and aerospace systems, construction management. Not open to undergraduate students.
Prerequisites: (COMS W3134) or (COMS W3137) or (COMS W3136) and fluency in Java); or the instructor's permission. The fundamentals of database design and application development using databases: entity-relationship modeling, logical design of relational databases, relational data definition and manipulation languages, SQL, XML, query processing, physical database tuning, transaction processing, security. Programming projects are required.
Prerequisites: (COMS W3134) or (COMS W3137) or (COMS W3136) and fluency in Java); or the instructor's permission. The fundamentals of database design and application development using databases: entity-relationship modeling, logical design of relational databases, relational data definition and manipulation languages, SQL, XML, query processing, physical database tuning, transaction processing, security. Programming projects are required.
Prerequisites: (COMS W3134) or (COMS W3137) or (COMS W3136) and fluency in Java); or the instructor's permission. The fundamentals of database design and application development using databases: entity-relationship modeling, logical design of relational databases, relational data definition and manipulation languages, SQL, XML, query processing, physical database tuning, transaction processing, security. Programming projects are required.
Prerequisites: (IEOR E3658) and (IEOR E4307) or (STAT GU4001) and Deterministic Models at the level of IEOR E3608 or IEOR E4004, or instructor permission. This course is for MS-MS-E students only. This course aims to develop and harness the modeling, analytical and managerial skills of engineering students and apply them to improve the operations of both service and manufacturing firms. The course is structured as a hands-on laboratory in which students learn by doing on real-world consulting projects (October to May). The student teams focus on identifying, modeling and testing (and sometimes implementing) operational improvements and innovations with high potential to enhance the profitability and/or achieve sustainable competitive advantage for their sponsor companies. The course is targeted toward students planning careers in technical consulting (including operations consulting) and management consulting, or pursuing positions as business analysts in operations, logistics, supply chain and revenue management functions, positions in general management and future entrepreneurs.
Prerequisites: Recommended but not required: APPH E3100 and APPH E3300 or their equivalents. Optical resonators, interaction of radiation and atomic systems, theory of laser oscillation, specific laser systems, rate processes, modulation, detection, harmonic generation, and applications.
Advanced Business Chinese is designed to help students who have studied at least three years of Chinese (or the equivalent) to achieve greater proficiency in the oral and written use of the language and gain knowledge in depth about China’s business environment and proven strategies. Student will critically examine the successes and failures of firms within the Chinese business arena.
Prerequisites: (COMS W3134 or COMS W3136 or COMS W3137) and (COMS W3157 or COMS W4118 or CSEE W4119) Design and implementation of large-scale distributed and cloud systems. Teaches abstractions, design and implementation techniques that enable the building of fast, scalable, fault-tolerant distributed systems. Topics include distributed communication models (e.g. sockets, remote procedure calls, distributed shared memory), distributed synchronization (clock synchronization, logical clocks, distributed mutex), distributed file systems, replication, consistency models, fault tolerance, distributed transactions, agreement and commitment, Paxos-based consensus, MapReduce infrastructures, scalable distributed databases. Combines concepts and algorithms with descriptions of real-world implementations at Google, Facebook, Yahoo, Microsoft, LinkedIn, etc.
Stress and deformation formulation in two-and three-dimensional solids; viscoelastic and plastic material in one and two dimensions energy methods.
Prerequisites: (COMS W3134 or COMS W3136 or COMS W3137) and (COMS W3261) and (CSEE W3827) or equivalent, or the instructors permission. Modern programming languages and compiler design. Imperative, object-oriented, declarative, functional, and scripting languages. Language syntax, control structures, data types, procedures and parameters, binding, scope, run-time organization, and exception handling. Implementation of language translation tools including compilers and interpreters. Lexical, syntactic and semantic analysis; code generation; introduction to code optimization. Teams implement a language and its compiler.
Prerequisites: (CSEE W3827) and knowledge of C and programming tools as covered in COMS W3136, W3157, or W3101, or the instructors permission. Design and implementation of operating systems. Topics include process management, process synchronization and interprocess communication, memory management, virtual memory, interrupt handling, processor scheduling, device management, I/O, and file systems. Case study of the UNIX operating system. A programming project is required.
Prerequisites: (CSEE W3827) and knowledge of C and programming tools as covered in COMS W3136, W3157, or W3101, or the instructors permission. Design and implementation of operating systems. Topics include process management, process synchronization and interprocess communication, memory management, virtual memory, interrupt handling, processor scheduling, device management, I/O, and file systems. Case study of the UNIX operating system. A programming project is required.
Prerequisites: (CSEE W3827) and knowledge of C and programming tools as covered in COMS W3136, W3157, or W3101, or the instructors permission. Design and implementation of operating systems. Topics include process management, process synchronization and interprocess communication, memory management, virtual memory, interrupt handling, processor scheduling, device management, I/O, and file systems. Case study of the UNIX operating system. A programming project is required.
Prerequisites: Comfort with basic probability. Programming fluency in Python, C++, Java, or Ruby (please see section course page for specific language requirements). Introduction to computer networks and the technical foundations of the Internet, including applications, protocols, local area networks, algorithms for routing and congestion control, security, elementary performance evaluation. Several written and programming assignments required.
Prerequisites: (CHEN E3210) or equivalent thermodynamics course, or instructors permission. Fundamental principles and underlying assumptions of statistical mechanics. Boltzmanns entropy hypothesis and its restatement in terms of Helmholtz and Gibbs free energies and for open systems. Correlation times and lengths. Exploration of phase space and observation timescale. Correlation functions. Fermi-Dirac and Bose-Einstein statistics. Fluctuation-response theory. Applications to ideal gases, interfaces, liquid crystals, microemulsions and other complex fluids, polymers, Coulomb gas, interactions between charged polymers and charged interfaces, ordering transitions.
Prerequisites: Graduate level coursework in Molecular Biology and Genetics. Basic computer literacy.
This seminar considers the difference gender makes in interpreting ancient Christian texts, ideas, and practices. Topics will include gender hierarchy and homoeroticism, prophecy and authority, outsiders’ views of Christianity, bodily pieties such as martyrdom and asceticism, and gender politics in the establishment of church offices. Emphasis will be placed on close readings of primary sources and selected scholarly framings of these sources.
Prerequisites: Graduate standing in Civil Engineering, or instructors permission. Introduction to the principles, methods and tools necessary to manage design and construction processes. Elements of planning, estimating, scheduling, bidding and contractual relationships. Valuation of project cash flows. Critical path method. Survey of construction procedures. Cost control and effectiveness. Field supervision.
Prerequisites: (PHYS UN1403) or (PHYS UN1602) and (MATH UN1202) or (MATH UN2030) or instructors permission. The physics of solar energy including solar radiation, the analemma, atmospheric efforts, thermodynamics of solar energy, physics of solar cells, energy storage and transmission, and physics and economics in the solar era.
Prerequisites: Successful completion of an undergraduate chemical engineering thermodynamics course. The course provides a rigorous and advanced foundation in chemical engineering thermodynamics suitable for chemical engineering PhD students expected to undertake diverse research projects. Topics include Intermolecular interactions, non-ideal systems, mixtures, phase equilibria and phase transitions and interfacial thermodynamics.
Prerequisites: Successful completion of an undergraduate chemical engineering thermodynamics course. The course provides a rigorous and advanced foundation in chemical engineering thermodynamics suitable for chemical engineering PhD students expected to undertake diverse research projects. Topics include Intermolecular interactions, non-ideal systems, mixtures, phase equilibria and phase transitions and interfacial thermodynamics.
This course prepares students to understand, analyze, and develop policies and procedures to address sustainability issues faced by urban centers in the developed and developing world, their decision-makers, and inhabitants. Enrolled students are assumed to have had no previous in-depth exposure to sustainable urban development and urban planning. By the end of the course, students will have learned the following skills necessary to develop strategies and related actions to enhance sustainability of cities: identify and support good practices in green and efficient urban development and planning; develop policies and foster technologies used to promote energy efficiency and reduced GHG emissions from buildings and transportation; develop policies and foster technologies necessary to ensure access to clean water; develop policies and foster technologies necessary for the effective collection, disposal, and possible re-use of waste; create approaches to climate change adaptation measures undertaken by cities; develop, track, and analyze sustainability metrics and indicators for urban centers. This course can also be counted toward Area 1: Integrative Sustainability Management.
Prerequisites: (CIEN E4129) or equivalent. Current methods of construction, cost-effective designs, maintenance, safe work environment. Design functions, constructability, site and environmental issues.
Prerequisites: (CIEN E4129) or CIEN E 4129 or equivalent. Contractual relationships in the engineering and construction industry and the actions that result in disputes. Emphasis on procedures required to prevent disputes and resolve them quickly and cost-effectively. Case studies requiring oral and written presentations.
Prerequisites: Contemporary Civilization or a comparable introduction to political theory course. The course examines the historical and theoretical foundations of democracy. The underlying assumption is that political arrangements and institutions are the embodiment of political ideas and theories. The course will investigate the historical emergence of democracy as a form of government based on equality before the law and equal access to all citizens to the deliberative, decisional and control processes. The historical starting point is identified in Solon’s reforms in Athens which dramatically broke the hegemony of ancient nobility; we will then study Cleisthenes’ reforms and their redefinition of citizenry; in the context of the new political ideal of isonomia. We will proceed to examine the theoretical debate of the fifth century BCE, which includes Herodotus (III, 80-82), Thucydides and Protagoras. We will then examine the criticism levelled at democracy by Socrates, Plato and Aristotle: their thought enables us to compare the ancient idea of democracy to our own. Finally, we will study the Roman contribution to the theory of democracy, namely Cicero’s ideal of ‘republic’ and the role that ius, codified law, played in it.
Prerequisites: (CIEN E4129) or equivalent. Planning and financing of capital facilities with a strong emphasis upon civil infrastructure systems. Project feasibility and evaluation. Design of project delivery systems to encourage best value, innovation and private sector participation. Fundamentals of engineering economy and project finance. Elements of life cycle cost estimation and decision analysis. Environmental, institutional, social and political factors. Case studies from transportation, water supply and wastewater treatment.
Interpretations of civil society and the foundations of political order according to the two main traditions of political thought--contraction and Aristotelian. Readings include works by Hobbes, Spinoza, Locke, Montesquieu, Hume, Rousseau, Kant, Hegel, Saint-Simon, Tocqueville, Marx, and Mill.
Prerequisites: (CIEN E4129) or instructors permission. History and development of Building Information Modeling (BIM), its uses in design and construction, and introduction to the importance of planning in BIM implementation. Role of visual design and construction concepts and methodologies, including integrated project delivery form in architecture, engineering, and construction industries from project design, cost estimating, scheduling, coordination, fabrication, installation, and financing.
Prerequisites: (CHEN E2100) and (CHEN E3120) and (CHEN E3210) or instructors permission. Design and analysis of unit operations employed in chemical engineering separations. Fundamental aspects of single and multistaged operations using both equilibrium and rate-based methods. Examples include distillation, absorption and stripping, extraction, membranes, crystallization, bioseparations, and environmental applications.
Prerequisites: Graduate student standing in Civil Engineering and Engineering Mechanics required; preference given to students in Construction Management. A definitive review and comprehensive introduction of the construction industry best practices and fundamental concepts of environmental health and safety management systems for the Construction Management field. How modern EH-S management system techniques and theories not only result in improved safe work environments but ultimately enhance operational processes and performance in construction projects.
Prerequisites: CIEN E4129 or instructors permission Address complex global construction industry environment. Study social, cultural, technological, and political risks; technical, financial, and contractual risks. Understanding of successful global project delivery principals and skills for construction professionals. Understanding of industry efforts and trends to support global operational mechanism. Global Case Studies. Engage with industry expert professionals. Student groups project with active ongoing global initiatives.
The sustainability of water resources is a critical issue facing society over the coming decades. Water resources are affected by changes not only in climate but also in population, economic growth, technological change, and other socioeconomic factors. In addition, they serve a dual purpose; water resources are critical to both human society and natural ecosystems. The objective of this course is to first provide students with a fundamental understanding of key hydrological processes. Students will then use this understanding to explore various sustainable strategies for integrated water resources management. Numerous case studies will be highlighted throughout the course to illustrate real world, practical challenges faced by water managers. Students will be asked to think critically and to use basic quantitative and management skills to answer questions related to sustainable water development. Considering the importance of water to society the understanding that students obtain from this course will be an essential part of their training in sustainable management.
Prerequisites: elementary organic and physical chemistry. The mechanisms of organic reactions, structure of organic molecules, and theories of reactivity. How reactive intermediates are recognized and mechanisms are deduced using kinetics, stereochemistry, isotopes, and physical measurements.
This course is intended for graduate students and advanced undergraduate students. The main purpose of the course is to introduce students to modern synthetic chemistry via the selected series of topics (synthetic planning and the logic of organic assembly, classical and new reactions/methods and their use in complex target synthesis). Mechanistic underpinning of the discussed reaction processes will also be briefly discussed. For each module (see the content below), specific examples of syntheses of natural products and/or synthetic materials will be provided. In addition to lectures by Prof. Sames, students will select and present relevant papers in the class (the number of student symposia will depend on the final enrollment in this course). The basic knowledge of transition metal chemistry is recommended for the cross-coupling reactions (i.e. structure, electron counting, and elemental reaction types of transition metals).
Prerequisites: basic biology and biochemistry and instructor’s permission. Basic aspects of prokaryotic molecular biology and genetics. Regulation of gene expression, molecular genetics of bacterial viruses, plasmids and transposable elements. Modern molecular genetic approaches to complex biological phenomena. Format: four to five hours of lectures and discussions per week.
Within the literature on the history of capitalism there is a lively debate that seeks to explain the world-historical transition from feudal and tributary modes of production to the capitalist mode of production. Substantial issues raised in this debate include the question of whether capitalism can be characterized as a mode of production dominated by the exploitation of free labour; the role of international trade in the origin and development of capitalism; and the role of agriculture in promoting a transition to capitalism. Through the publication of two key texts in the late 1970s Robert Brenner's proposition that capitalism had its origins in English agriculture came to dominate the transition debate. More recently, however, there have been a number of publications that seek to challenge the Anglo-centric and Eurocentric tendencies of the entire transition debate. This course begins with the Brenner debates and then takes up revisions, critiques and challenges to that debate. Ultimately, the aim of the course is to more clearly understand the place of non-European polities and peoples in the history and development of capitalism.
Prerequisites: (COMS W3157) or equivalent. Software lifecycle using frameworks, libraries and services. Major emphasis on software testing. Centers on a team project.
Prerequisites: at least 4 college-level biology or biotechnology courses. This course will introduce students to the interrelated fields of patent law, regulatory law, and contract law that are vital to the biotech and biopharmaceutical sectors. The course will present core concepts in a way that permits students to use them throughout their corporate, academic, and government careers. SCE and TC students may register for this course, but they must first obtain the written permission of the instructor, by filling out a paper Registration Adjustment Form (Add/Drop form). The form can be downloaded at the URL below, but must be signed by the instructor and returned to the office of the registrar. http://registrar.columbia.edu/sites/default/files/content/reg-adjustment.pdf
Prerequisites: (COMS W3134 or COMS W3136 or COMS W3137) Introduction to the theory and practice of computer user interface design, emphasizing the software design of graphical user interfaces. Topics include basic interaction devices and techniques, human factors, interaction styles, dialogue design, and software infrastructure. Design and programming projects are required.